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Finding the Fourth Proportional to 234,911.20, 351,646.80 and 129,407.20

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Solution

The fourth proportional to 234,911.20, 351,646.80 and 129,407.20 is: 193,714.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,911.20 : 351,646.80 = 129,407.20 : x
  2. Step 2: Convert to fraction form
    234,911.20/351,646.80 = 129,407.20/x
  3. Step 3: Cross multiply
    234,911.20x = 351,646.80 × 129,407.20
  4. Step 4: Simplify right side
    234,911.20x = 45,505,627,776.96
  5. Step 5: Solve for x
    x = 45,505,627,776.96/234,911.20
  6. Step 6: Final answer
    x = 193,714.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.